#5 = 53° #7 = 125° #6 = 55° #2 = 72° #3 = 55° #1 = 53° #4 = 127°
triangle = 180°
alternating interior angles are the same (#6 & #3 and #5 and #1)
#3 and #7 should equal 180°
#1 and #4 should also equal 180°
#6 and #7 should equal 180°
#4 and #5 should equal 180°
$65=$29+$9
- 29 -29
----------------
36 9x
---------------
9 9
X=4
Perimeter:
Area:
Step-by-step explanation:
Perimeter of a rectangle : P= 2( L + w)
in this case it would be 2(y+6) + 2(2y)
= 2y+12 + 4y
simplified to 6y +12
Area of a rectangle : A= LW
=(y+6)(2y)
We foil and get
Answer:
<em>The angle of elevation of the sun is 32°</em>
Step-by-step explanation:
<u>Right Triangles</u>
The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.
Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.
The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:
Calculate x by using the inverse tangent:
The angle of elevation of the sun is 32°
We can first turn the text into a proper formula:
x plus 10 plus 6 x plus 2 x
x+10+6x+2x
The like terms are the numbers with
We can then put the like terms together to continue the calculation:
x+6x+2x+10
=9x + 10
Therefore, the answer is 9x + 10.
Hope it helps!